Given:
A Hudson Valley farmer has 26 employees.
Salary of each employee = $410 per week.
Remaining amount after one week = $126
To find:
The initial amount of money he begins with.
Solution:
We have,
Amount he pays to one employee in one week = $410
Amount he pays to 26 employee in one week = 26 × $410
= $10660
Let x be the initial amount of money he begins with.
Remaining amount = Initial amount - Amount he pays to 26 employee in one week
[tex]126=x-10660[/tex]
[tex]126+10660=x[/tex]
[tex]10786=x[/tex]
Therefore, the initial amount of money he begins with is $10786.
Find the equation of this line.
Answer:
y = 1/3 x + 2
Step-by-step explanation:
We see points (-3, 1) and (3, 3).
We also see point (0, 2), the y-intercept.
To go from (-3, 1) to (3, 3), go up 2 and right 6.
slope = m = rise/run = 2/6 = 1/3
y = mx + b
y = 1/3 x + 2
What is the simplified form of 400x100 ?
O 200x10
O 200x50
O 20x10
O 20x50
Answer:
√400 x √100 = 40,000
√40,000 = 200
So your answer is 200 x 10.
Hope this Helps!!
Step-by-step explanation:
The value of the simplified form is,
⇒ 20 x¹⁰
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
√ 400 x¹⁰⁰
Now, We can simplify as;
⇒ √ 400 x¹⁰⁰
⇒ 20 x¹⁰
Thus, The value of the simplified form is,
⇒ 20 x¹⁰
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Multiply 2 1/2 x -4 3/5
Plz help
Answer:
Step-by-step explanation:
2 1/2* -4 3/5=
5/2*-23/5
-23/2 or -11 1/2
Solve the question 35>-5(4-x)
Answer:
x < 11
Step-by-step explanation:
35 > -5(4 - x)
35 > -20 + 5x
55 > 5x
x < 11
Topic: Inequalities
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The weight of infants follows a bell-shaped distribution with mean 7.5 pounds and standard deviation 1.75 pounds. A baby born two weeks early has a standardized score of –1.5. What is the baby’s actual weight? Round your answer to the nearest hundredth.
The baby weighed _____ pounds at birth.
Answer:
4.88
Step-by-step explanation:
Answer:
The person above me is right, they deserve brainliest.
It is 4.88
ED2021
Solve for y.
y+9=7
Any help
Answer:
-2
Step-by-step explanation:
7-9=-2 hope this helps
What is the value of x?
Answer:
x = 146°
Step-by-step explanation:
(all angles in a triangle add up to 180°)
180 - 115 - 31 = 34
(supplmentary angle)
180 - 34 = 146°
PLS HELP will give brainleist
Answer:
just substitute the X's
Please help I’ll give brainiest
its an obtuse angle so each equation should equal 180
Hint: (9y+7) = 180 and (2y+98) = 180
hope this helps pls mark me brainliest
QUESTION ONE Solve for x.
Answer:
X = 144
Step-by-Step Explanation
To rent a boat, you pay for an initial fee plus. John rented a boat for 3 hours and paid $41. Jessica rented a boat for 6 hours and paid $77.
Answer:
The intial fee is $5
The equation to represent this is: y=12x+5
12 is the cost per hour x=hours y=total cost
Step-by-step explanation:
77-41=36
36/3=12
12*6=72
77-72=5
Expand and simplify (3x-2)^2
Answer:
The answer is: 9x^2 - 12x + 4
Step-by-step explanation:
Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2
(3x)^2 - 2 * 3x * 2 + 2^2
Simplify:
9x^2 - 12x + 4
The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.
To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.
First, let's square the first term:
(3x)² = 9x²
Next, we multiply the outer terms:
(3x)(-2) = -6x
Then, we multiply the inner terms:
(-2)(3x) = -6x
Finally, we square the last term:
(-2)² = 4
Now, let's combine all the terms:
9x² - 6x - 6x + 4
Combining like terms, we have:
9x² - 12x + 4
So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.
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A particular map shows a scale of 2 cm: 8 km. What would the map distance (in cm) be if the actual distance is 64 km?
Answer:
16cm
Step-by-step explanation:
Step one:
given
the scale of the map
[tex]2 cm: 8 km.[/tex]
Step two:
so if a scale of 2 cm represents 8 km.
then let xcm be 64km
cross multiply we have
[tex]x*8= 64*2[/tex]
8x= 128
divide both sides by 8
[tex]x= 128/8\\\\x=16cm[/tex]
The map distance is 16cm
Unit rate for 321.5 miles in 5 hours
Answer:
64.3 Per hour
Step-by-step explanation:
If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5
321.5 / 5 = 64.3
64.3 x 5 = 321.5
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X = (3x-17)^{\circ}m∠X=(3x−17) ∘ . Find \text{m}\angle X.M∠X.
Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
PLEASE PLEASE HELP. I’ll give branliest....I’m begging.
Answer:
Step-by-step explanation:
Things to remember,
1). Any point on the graph of a function is represented by [x, f(x)].
2). x-coordinates are the input values on x-axis and f(x) is the output value of the function on y-axis.
A). For x = 2, value of f(2) will be,
f(2) = 4
B). For x = 5, value of f(5) will be,
f(5) = 7
C). Since, 4 < 7
Therefore, f(2) is less than f(5).
anyone play pokemon go?
Answer:
No
I hate pokemon.
What is 60% of 90? *
Answer:
54
Step-by-step explanation:
You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.
3.) Duncan spent $70 and now has
$120. How much money did he have
before spending the 70?
Answer:
He started with $190
Answer:
190
Step-by-step explanation:
because $70 + $120 gives us $190 of how we got the answer is before he spending the 70$ he had $190.
Ranger simplified this expression. 3(2.7x + 5) – 2(4x – 1.6) What was Ranger's simplified expression? 0.1x + 18.2 –16.1x + 11.8 16x – 18.2 –0.1x + 11.8
Answer:
Ranger's simplified expression was 0.1x + 18.2
The correct answer is the first option.
Step-by-step explanation:
To simplify the given expression
3(2.7x + 5) – 2(4x – 1.6)
First, we will open the brackets by distributing 3 and 2, that is
(3×2.7x) + (3×5) -(2×4x) -(2×-1.6)
Now, we will get
8.1x + 15 - 8x +3.2
Now, collect like terms,
8.1x - 8x + 15 + 3.2
Then, we will get
0.1x + 18.2.
Hence, Ranger's simplified expression was 0.1x + 18.2.
The correct answer is the first option.
Answer:
It's A
Step-by-step explanation:
8. At the local pet store, zebra fish cost $2.20 each and neon letras cost $1.80 each. If Marsha bought 15 fish for
a total cost of $29.80, not including tax, how many of each type of fish did she buy?
a. 8 zebra fish, 7 neon tetras
b. 7 zebra fish, 8 ncon tetras
c. 6 zebra fish, 9 neon tetras
d. 9 zebra fisli, 6 ncoe tetras
Answer:
B. 7 zebra fish, 8 neon tetras
Step by step explanation:
First let's do process of elimination.
X A) 8 x 2.20 = 17.6, 7 x 1.80 = 12.6, 17.6 + 12.6 = 30.2
✔ B) 7 x 2.20 = 15.4, 8 x 1.80 = 14.4, 15.4 + 14.4 = 29.8
X C) 6 x 2.20 = 13.2, 9 x 1.8 = 16.2, 13.2 + 16.2 = 29.4
X D) 9 x 2.20 = 19.8, 6 x 1.8 = 10.8, 10.8 + 19.8 = 30.6
Sorry I’m might ask many more questions but I’m trying to finish this tonight so PLS HELP ASAP
Answer:
14 hours
Step-by-step explanation:
93 / 6 = 15.5 so every hour you drive 15.5 miles
217 / 15.5 = 14 you travel 14 miles overall
2. Solve for x given given the following
Answer:
Step-by-step explanation:
Since the triangles are equivalent,
3x - 2 = 5
Solve for x.
3x = 7
x = 7/3
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
a right triangle
isosceles triangle
Answer:
acute angle
Step-by-step explanation:
acute = angles that are less than 90⁰
The triangles which have three angles that measure less than 90° are:
acute triangle, equilateral triangle
What is acute triangle?"An acute triangle is a triangle with three acute angles that means each angle measures less than 90°."
What is an equilateral triangle?"An equilateral triangle is a triangle where all sides and angles are equal. Each angle of an equilateral triangle measures 60°. "
What is a right triangle?"A right triangle is a triangle where one of the angle measures 90°. "
What is an isosceles triangle?"A triangle that has two sides of equal length is called as an isosceles triangle. Also, two angles that are opposite to equal sides are always equal and measures less than 90°. "
For given question,
As one of the angle of right triangle measures 90°, it is not a required triangle.
Also, for isosceles triangle, although two equal angles measure less than 90°, the third angle can be 90°. So, an isosceles triangle is not a required triangle.
Therefore, the triangles that have three angles that measure less than 90° are:
1) acute triangle
2) equilateral triangle
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A Rectangle has a length that is one foot longer than it’s width. If the area of the rectangle is 210ft^2 what are the dimensions?
Answer:
Required Answer:-Let
[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]
As we know that in a rectangle[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]
Factorise[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]
In menstruation there is no negative value .So (x=-15) can't be possible.Hence correct value
[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]
__________________________[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]
A plant cell has a length of 0.000085 what is it’s scientific notation
Answer:
8.5×10^-5
Step-by-step explanation:
8n-10=30 hheellppppp
Answer:
8n-10=30 n=5
8n-10=30 n=5
Answer:
8n-10=30
n=5
8(5)-10
40-10=30
n=5
HELP WILL GIVE BRAINLIEST!!
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
not a 100% sure just trying to help
what about two and nine hundredths?
Answer:
2.09 is the answer now what
The environment club is having a trash pickup day. There are 130 people signed up to help. For the trash pickup day they will work in 4 people . No more than 4 people can join a group. How many groups are there? Explain how you interpreted the remainder.
Answer: 33 groups
Step-by-step explanation:
Number of people that signed for help = 130 people
Number of people that can join a group = 4.
Number of groups that will be formed will be:
= Number of people that signed for help / Number of people that can join a group
= 130/4
= 32.5
= 33 groups
Since there'll be a remainder of 2 people, they will form a new group making 33 groups.